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Finding the Third Proportional to 87,252.50 and 138,385

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Solution

The third proportional to 87,252.50 and 138,385 is: 219,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,252.50 : 138,385 = 138,385 : x
  2. Step 2: Convert to fraction form
    87,252.50/138,385 = 138,385/x
  3. Step 3: Cross multiply
    87,252.50x = 138,385 × 138,385
  4. Step 4: Simplify right side
    87,252.50x = 19,150,408,225
  5. Step 5: Solve for x
    x = 19,150,408,225/87,252.50
  6. Step 6: Final answer
    x = 219,482.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.